The weight of an aeroplane flying in air is balanced by
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(b) Upper surface of wing is more curved than its lower surface, therefore, the speed of air above the wings is larger than the speed of the air below the wings. According to Bernoulli's theorem, the pressure above the wings becomes less than the pressure below the wings. Due to this difference of pressure on the two sides of the wings, a vertical lift acts on the aeroplane. When this lift is sufficient to overcome the gravity pull on the aeroplane, the aeroplane is lifted up.
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A small hole of area of cross-section $2\; \mathrm{mm}^{2}$ is present near the bottom of a fully filled open tank of height $2\; \mathrm{m} .$ Taking $\mathrm{g}=10 \;\mathrm{m} / \mathrm{s}^{2},$ the rate of flow of water through the open hole would be nearly ......... $\times 10^{-6} \;m^{3} /s$
Air is streaming past a horizontal air plane wing such that its speed in $ 120 m/s$ over the upper surface and $ 90 m/s$ at the lower surface. If the density of air is $1.3 kg$ per $metre^3 $ and the wing is $10 m $ long and has an average width of $2 m$, then the difference of the pressure on the two sides of the wing of ....... $Pascal$
A vessel of area of cross-section A has liquid to a height $H$ . There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from ${H_1}$ to ${H_2}$ will be
The bulk modulus of a liquid is $3 \times 10^{10}\, Nm ^{-2}$. The pressure required to reduce the volume of liquid by $2 \%$ is ........ $\times 10^{8}\; Nm ^{-2}$
Different physical quantities are given in Column - $\mathrm{I}$ and their dimensional formula are given in Column - $\mathrm{II}$. Match them appropriately.
An inverted tube barometer is kept on a lift with a moving downward with a deceleration $\alpha $ . The density of mercury is $\rho$ and acceleration due to gravity is $g$ . If the atmospheric pressure be $P_0$ then
Small water droplets of radius $0.01 \mathrm{~mm}$ are formed in the upper atmosphere and falling with a terminal velocity of $10 \mathrm{~cm} / \mathrm{s}$. Due to condensation, if $8 \mathrm{such}$ droplets are coalesced and formed a larger drop, the new terminal velocity will be ........... $\mathrm{cm} / \mathrm{s}$.
A plane is in level flight at constant speed and each of its two wings has an area of $40 \mathrm{~m}^2$. If the speed of the air is $180 \mathrm{~km} / \mathrm{h}$ over the lower wing surface and $252 \mathrm{~km} / \mathrm{h}$ over the upper wing surface, the mass of the plane is______ $\mathrm{kg}$. (Take air density to be $1 \mathrm{~kg} \mathrm{~m}^{-3}$ and $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )